When less is more : visualizing basic inequalities / / Claudi Alsina, Roger B. Nelsen.

• Author: ProQuest (Firm); Alsina, Claudi.
• TeilnehmendeR: Nelsen, Roger B.; ProQuest (Firm)
• Rok vydání: 2009
• Jazyk: English
• Edice: Dolciani mathematical expositions ; no. 36
• Fyzický popis: xix, 181 p. :; ill., ports.
• Shrnutí: The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs. The second and largest set of inequalities are geometric both in their statements and in their proofs. Toward the end of the book some inequalities are more analytical in their statements as well as their proofs--From publisher description.
• Bibliografie: Includes bibliographical references (p. 171-177) and index.
• ISBN: 9780883853429 (hbk.); 0883853426 (hbk.); 9781614442028 (electronic bk.)
• Hierarchical level: Monograph
• Statement of Responsibility: Claudi Alsina, Roger B. Nelsen.

The proofs in When Less is More are in the spirit of proofs without words, though most require at least a few words. The first inequalities presented in the book, such as the inequalities between the harmonic, geometric, and arithmetic mean, are familiar from analysis, but are given geometric proofs...